131331200
131,331,200 is an even composite number composed of six prime numbers multiplied together.
131331200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131331200:
27 × 52 × 7 × 11 × 13 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 13 × 41)See below for interesting mathematical facts about the number 131331200 from the Numbermatics database.
Names of 131331200
- Cardinal: 131331200 can be written as One hundred thirty-one million, three hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.313312 × 108
Factors of 131331200
Divisors of 131331200
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 41 44 50 52 55 56 64 65 70 77 80 82 88 91 100 104 110 112 128 130 140 143 154 160 164 175 176 182 200 205 208 220 224 260 275 280 286 287 308 320 325 328 350 352 364 385 400 410 416 440 448 451 455 520 533 550 560 572 574 616 640 650 656 700 704 715 728 770 800 820 832 880 896 902 910 1001 1025 1040 1066 1100 1120 1144 1148 1232 1300 1312 1400 1408 1430 1435 1456 1540 1600 1640 1664 1760 1804 1820 1925 2002 2050 2080 2132 2200 2240 2255 2275 2288 2296 2464 2600 2624 2665 2800 2860 2870 2912 3080 3157 3200 3280 3520 3575 3608 3640 3731 3850 4004 4100 4160 4264 4400 4480 4510 4550 4576 4592 4928 5005 5200 5248 5330 5600 5720 5740 5824 5863 6160 6314 6560 7040 7150 7175 7216 7280 7462 7700 8008 8200 8320 8528 8800 9020 9100 9152 9184 9856 10010 10400 10660 11200 11275 11440 11480 11648 11726 12320 12628 13120 13325 14300 14350 14432 14560 14924 15400 15785 16016 16400 17056 17600 18040 18200 18304 18368 18655 20020 20800 21320 22400 22550 22880 22960 23452 24640 25025 25256 26240 26650 28600 28700 28864 29120 29315 29848 30800 31570 32032 32800 34112 35200 36080 36400 36736 37310 40040 41041 41600 42640 45100 45760 45920 46904 49280 50050 50512 53300 57200 57400 57728 58240 58630 59696 61600 63140 64064 65600 68224 72160 72800 74620 78925 80080 82082 85280 90200 91520 91840 93275 93808 100100 101024 106600 114400 114800 117260 119392 123200 126280 128128 131200 144320 145600 146575 149240 157850 160160 164164 170560 180400 183680 186550 187616 200200 202048 205205 213200 228800 229600 234520 238784 246400 252560 288640 291200 293150 298480 315700 320320 328328 341120 360800 373100 375232 400400 404096 410410 426400 457600 459200 469040 477568 505120 586300 596960 631400 640640 656656 721600 746200 750464 800800 820820 852800 918400 938080 1010240 1026025 1172600 1193920 1262800 1313312 1443200 1492400 1601600 1641640 1705600 1876160 2020480 2052050 2345200 2387840 2525600 2626624 2984800 3203200 3283280 3752320 4104100 4690400 5051200 5253248 5969600 6566560 8208200 9380800 10102400 11939200 13133120 16416400 18761600 26266240 32832800 65665600 131331200
- Sum of all divisors σ(n): 446221440
- Sum of proper divisors (its aliquot sum) s(n): 314890240
- 131331200 is an abundant number, because the sum of its proper divisors (314890240) is greater than itself. Its abundance is 183559040
Bases of 131331200
- Binary: 1111101001111110100100000002
- Hexadecimal: 0x7D3F480
- Base-36: 266VSW
Squares and roots of 131331200
- 131331200 squared (1313312002) is 17247884093440000
- 131331200 cubed (1313312003) is 2265185315452387328000000
-
The
square root of 131331200 is 11459.9825479797 -
The
cube root of 131331200 is 508.3029585601
Scales and comparisons
How big is 131331200?- 131,331,200 seconds is equal to 4 years, 9 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 131,331,200 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 131331200 cubic inches would be around 42.4 feet tall.
Recreational maths with 131331200
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